mathsurgery - Construction and loci year 8

All
• Classify and visualise properties and patterns
• Use a ruler and protractor to:
(i) measure and draw lines to the nearest millimetre and angles, including reflex angles, to the nearest degree;
(ii) construct a triangle given two sides and the included angle (SAS) or two angles and the included side (ASA)
• Use ICT to explore constructions

Most
• Visualise and manipulate dynamic images
• Make accurate mathematical constructions on paper and on screen
• Find simple loci, both by reasoning and by using ICT, to produce shapes and paths, e.g. an equilateral triangle
• Use straight edge and compasses to construct;
(i) the mid-point and perpendicular bisector of a line segment;
(ii) the bisector of an angle;
(iii) the perpendicular from a point to a line;
(iv) the perpendicular from a point on a line
(v) a triangle, given three sides (SSS)
• Use ICT to explore these constructions

Some
• Find the locus of a point that moves according to a simple rule, both by reasoning and by using ICT
• Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS)
• Use ICT to explore constructions of triangles and other 2-D shapes

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Construction and loci year 8